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Finding the Fourth Proportional to 321.71, 444.21 and 239.69

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Solution

The fourth proportional to 321.71, 444.21 and 239.69 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.71 : 444.21 = 239.69 : x
  2. Step 2: Convert to fraction form
    321.71/444.21 = 239.69/x
  3. Step 3: Cross multiply
    321.71x = 444.21 × 239.69
  4. Step 4: Simplify right side
    321.71x = 106,472.91
  5. Step 5: Solve for x
    x = 106,472.91/321.71
  6. Step 6: Final answer
    x = 330.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.